Computer Methods in Applied Mechanics and Engineering最新文献_第9页

Iterative high-order weakly compressible smoothed particle hydrodynamics model for viscous fluid flows 粘性流体流动的迭代高阶弱可压缩光滑粒子流体动力学模型

IF 7.3 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-04 DOI: 10.1016/j.cma.2025.118339

Guixun Zhu , Siming Zheng , Yaru Ren , Yuzhu Pearl Li

{"title":"Iterative high-order weakly compressible smoothed particle hydrodynamics model for viscous fluid flows","authors":"Guixun Zhu , Siming Zheng , Yaru Ren , Yuzhu Pearl Li","doi":"10.1016/j.cma.2025.118339","DOIUrl":"10.1016/j.cma.2025.118339","url":null,"abstract":"<div><div>Smoothed particle hydrodynamics (SPH) is an efficient and robust particle-based method for large deformation problems such as strongly nonlinear free interface flow and structural damage due to its meshless characteristics. However, achieving consistent high-order accuracy remains a fundamental challenge under irregular particle distributions, which often leads to significant accuracy degradation in conventional SPH interpolation schemes. To address this issue, we propose a novel iterative high-order SPH framework to systematically improve the accuracy of gradient and Laplacian operators through multiple layers of Taylor expansions. An adaptive iteration strategy is introduced at each expansion layer, resulting in a recursive correction that utilizes high-order derivatives to improve low-order estimates, thereby improving consistency and robustness for inhomogeneous particle fields. To maintain accuracy near domain boundaries, a new high-order ghost particle extrapolation scheme is developed to ensure consistency of spatial derivatives. The proposed framework is validated on a series of typical incompressible viscous flow benchmarks, including Taylor-Green vortex, Lamb-Osing vortex, inviscid shear layer, Burggraf flow, and Lid driven flow. Results show that the proposed approach achieves up to fourth-order convergence even with irregular particle arrangements and improves simulation accuracy by two orders of magnitude compared to the conventional SPH formulation. By avoiding the use of high-order kernel functions and large matrix systems, this method provides a scalable approach for high-fidelity particle-based simulations.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"447 ","pages":"Article 118339"},"PeriodicalIF":7.3,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144997034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Uncertain constitutive model for metals in the presence of inherent defects 存在固有缺陷的金属不确定本构模型

IF 7.3 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-04 DOI: 10.1016/j.cma.2025.118355

Jiazheng Zhu, Xiaojun Wang, Yanru Mu

{"title":"Uncertain constitutive model for metals in the presence of inherent defects","authors":"Jiazheng Zhu, Xiaojun Wang, Yanru Mu","doi":"10.1016/j.cma.2025.118355","DOIUrl":"10.1016/j.cma.2025.118355","url":null,"abstract":"<div><div>The constitutive model of metals is one of the most important elements in solid mechanics, as the mechanical behavior at different spatial scales is uncertain, and the constitutive model is inevitably subject to uncertainty of defects. The complexity of metal microstructure, coupled with the high cost of numerical simulation, poses a challenge in establishing the correlation between macro and micro uncertainties in metals. This article proposes a new uncertain constitutive model for hexagonal close packing (HCP) polycrystal, integrating Point defect and dislocation into micro-uncertainty analysis and developing a multiscale framework for calculating the uncertain constitutive model of metal. Building on density functional theory and microcrystalline plasticity theory, interval forms are employed as variables for micro-uncertainty, allowing for accurate quantification of uncertainties in parameters such as initial dislocation density. By constructing a surrogate model for cross-scale uncertainty propagation, the performance envelope of metals can be determined. The framework is then applied to engineering case study of α-phase pure titanium to calculate system responses.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"447 ","pages":"Article 118355"},"PeriodicalIF":7.3,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144988912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analytical hierarchical Bayesian modeling framework for model updating and uncertainty propagation utilizing frequency response function data 利用频响函数数据进行模型更新和不确定性传播的分析层次贝叶斯建模框架

IF 7.3 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-04 DOI: 10.1016/j.cma.2025.118341

Xinyu Jia , Weinan Hou , Shi-Ze Cao , Wang-Ji Yan , Costas Papadimitriou

{"title":"Analytical hierarchical Bayesian modeling framework for model updating and uncertainty propagation utilizing frequency response function data","authors":"Xinyu Jia , Weinan Hou , Shi-Ze Cao , Wang-Ji Yan , Costas Papadimitriou","doi":"10.1016/j.cma.2025.118341","DOIUrl":"10.1016/j.cma.2025.118341","url":null,"abstract":"<div><div>Model updating using frequency response functions (FRFs) provides critical advantages in structural dynamics. However, existing probabilistic approaches struggle to balance computational efficiency with comprehensive uncertainty quantification. To this end, this paper introduces an analytical hierarchical Bayesian modeling (HBM) framework that overcomes these limitations through utilization of complex-valued FRF data and variational inference. In particular, the proposed approach incorporates a complex Gaussian likelihood formulation directly into the HBM framework for the FRF experimental data, which allows for a more appropriate and physically consistent treatment of FRF data, particularly when both magnitude and phase information (real and imaginary parts) are essential. Additionally, the proposed approach enables the analytical HBM solution under the complex likelihood setting, improving both the accuracy of parameter estimation and the efficiency of the computation. The framework further propagates the parameter uncertainty to the response predictions and reliability assessment. Numerical and experimental validations on a simply supported beam demonstrate the effectiveness of the proposed approach. Results indicate that the proposed framework provides a reasonable uncertainty estimate of the model parameters as well as the response predictions. Reliability computations on the numerical example also suggest that the proposed framework provides conservative and reliable failure probability estimates, compared to the classical Bayesian modeling which often leads to unsafe engineering decisions.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"447 ","pages":"Article 118341"},"PeriodicalIF":7.3,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144997155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A hybrid flux-preserving finite element for coupled flow deformation: Linear formulation 耦合流动变形的混合保通量有限元：线性公式

IF 7.3 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-03 DOI: 10.1016/j.cma.2025.118351

Simona Lo Franco , Michele Terzano , Guido Borino , Gerhard A. Holzapfel , Francesco Parrinello

{"title":"A hybrid flux-preserving finite element for coupled flow deformation: Linear formulation","authors":"Simona Lo Franco , Michele Terzano , Guido Borino , Gerhard A. Holzapfel , Francesco Parrinello","doi":"10.1016/j.cma.2025.118351","DOIUrl":"10.1016/j.cma.2025.118351","url":null,"abstract":"<div><div>Accurate modeling of coupled solid-fluid systems in porous media poses intrinsic computational challenges due to the nonlinear interaction between kinematic fields and fluid transport. Although a wide spectrum of finite element formulations is documented in the literature, the majority are based on principles in which solid displacement and fluid pressure fields are treated as primary unknowns, leading to a saddle point problem, thus requiring the satisfaction of the inf-sup condition to ensure the well-posedness and stability of the mixed formulation. Furthermore, in critical scenarios, such as low permeability or small time steps, numerical instabilities, including pressure oscillations, may still occur, requiring the implementation of stabilization techniques or the adoption of high-resolution discretizations to maintain solution accuracy. The present contribution proposes a novel hybrid flux-preserving finite element formulation, designed to preserve mass flux consistency within each element, by adopting an alternative set of primary variables. An original hybrid variational principle is established, wherein the solid deformation and the mass flux fields are adopted as primary unknowns, while the fluid potential acts as a Lagrange multiplier to enforce weak continuity of mass flow across inter-element boundaries, thus avoiding the necessity of globally conforming function spaces. The resulting hybrid element is implemented within the open-source software FEAP. Its performance is assessed through classical benchmark problems in poroelasticity. In particular, the accurate resolution of the fluid pressure field highlights the advantages of the proposed formulation over classical displacement-pressure elements and shows the potential of the proposed method.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"447 ","pages":"Article 118351"},"PeriodicalIF":7.3,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144988914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A physics-augmented GraphGPS framework for the reconstruction of 3D Riemann problems from sparse data 基于稀疏数据重建三维黎曼问题的物理增强GraphGPS框架

IF 7.3 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-02 DOI: 10.1016/j.cma.2025.118328

Rami Cassia, Rich Kerswell

{"title":"A physics-augmented GraphGPS framework for the reconstruction of 3D Riemann problems from sparse data","authors":"Rami Cassia, Rich Kerswell","doi":"10.1016/j.cma.2025.118328","DOIUrl":"10.1016/j.cma.2025.118328","url":null,"abstract":"<div><div>In compressible fluid flow, reconstructing shocks, discontinuities, rarefactions, and their interactions from sparse measurements is an important inverse problem with practical applications. Moreover, physics-informed machine learning has recently become an increasingly popular approach for performing reconstructions tasks. In this work we explore a machine learning recipe, known as GraphGPS, for reconstructing canonical compressible flows known as 3D Riemann problems from sparse observations, in a physics-informed manner. The GraphGPS framework combines the benefits of positional encodings, local message-passing of graphs, and global contextual awareness, and we explore the latter two components through an ablation study. Furthermore, we modify the aggregation step of message-passing such that it is aware of shocks and discontinuities, resulting in sharper reconstructions of these features. Additionally, we modify message-passing such that information flows strictly from known nodes only, which results in computational savings, better training convergence, and no degradation of reconstruction accuracy. We also show that the GraphGPS framework outperforms numerous machine learning and classical benchmarks.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"447 ","pages":"Article 118328"},"PeriodicalIF":7.3,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144926433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A meshfree immersed variational multiscale method for perfectly bonded interfaces 完美结合界面的无网格浸入变分多尺度方法

IF 7.3 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-02 DOI: 10.1016/j.cma.2025.118344

Andrew B. Groeneveld , Michael C. Hillman , Pinlei Chen

{"title":"A meshfree immersed variational multiscale method for perfectly bonded interfaces","authors":"Andrew B. Groeneveld , Michael C. Hillman , Pinlei Chen","doi":"10.1016/j.cma.2025.118344","DOIUrl":"10.1016/j.cma.2025.118344","url":null,"abstract":"<div><div>Composites are ubiquitous in many engineering applications, and computing stresses near material interfaces is crucial for predicting and understanding meso- and micro-structural failure in these materials. While many notable approaches to this problem are available, stable interfacial tractions are still difficult to achieve in numerical simulations. This work presents a simplified immersed variational multiscale (SIVMS) method for interfaces that achieves stable, convergent results for the normal traction. The convergence behavior in both the bulk domain fields and interfacial tractions is investigated for SIVMS and is compared to conventional methods such as the Lagrange multiplier method and Nitsche’s method. The difficulty in selecting appropriate values of parameters for Nitsche’s method is highlighted. In contrast, SIVMS provides stabilization that emanates naturally from the assumed fine-scale basis functions. The proposed SIVMS method is free from ad-hoc parameters and provides good accuracy and stability in interfacial tractions. Several benchmark test cases are presented to show the effectiveness and confirm the range of applicability of the proposed method.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"447 ","pages":"Article 118344"},"PeriodicalIF":7.3,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144933637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A dual-stage constitutive modeling framework based on finite strain data-driven identification and physics-augmented neural networks 基于有限应变数据驱动识别和物理增强神经网络的双阶段本构建模框架

IF 7.3 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-02 DOI: 10.1016/j.cma.2025.118289

Lennart Linden , Karl A. Kalina , Jörg Brummund, Brain Riemer, Markus Kästner

{"title":"A dual-stage constitutive modeling framework based on finite strain data-driven identification and physics-augmented neural networks","authors":"Lennart Linden , Karl A. Kalina , Jörg Brummund, Brain Riemer, Markus Kästner","doi":"10.1016/j.cma.2025.118289","DOIUrl":"10.1016/j.cma.2025.118289","url":null,"abstract":"<div><div>In this contribution, we present a novel consistent dual-stage approach for the automated generation of hyperelastic constitutive models which only requires experimentally measurable data. As a proof of concept, the present work relies on synthetic data generated through virtual experiments. To generate input data for our approach, an experiment with full-field measurement has to be conducted to gather testing force and corresponding displacement field of the sample. Then, in the first step of the dual-stage framework, a new finite strain Data-Driven Identification (DDI) formulation is applied. This method enables to identify tuples consisting of stresses and strains by only prescribing the applied boundary conditions and the measured displacement field. In the second step, the data set is used to calibrate a Physics-Augmented Neural Network (PANN), which fulfills all common conditions of hyperelasticity by construction and is very flexible at the same time. We demonstrate the applicability of our approach by several descriptive examples. Two-dimensional synthetic data are exemplarily generated in virtual experiments by using a reference constitutive model. The calibrated PANN is then applied in 3D Finite Element simulations. In addition, a real experiment including noisy data is mimicked.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"447 ","pages":"Article 118289"},"PeriodicalIF":7.3,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144926434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A unified framework of bond-associated peridynamic material correspondence models: Formulation and evaluation 键相关周动力材料对应模型的统一框架：公式与评价

IF 7.3 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-02 DOI: 10.1016/j.cma.2025.118340

Xuan Hu , Hailong Chen , Shaofan Li

{"title":"A unified framework of bond-associated peridynamic material correspondence models: Formulation and evaluation","authors":"Xuan Hu , Hailong Chen , Shaofan Li","doi":"10.1016/j.cma.2025.118340","DOIUrl":"10.1016/j.cma.2025.118340","url":null,"abstract":"<div><div>The conventional peridynamic material correspondence formulation is known to suffer from issue of material instability or existence of zero-energy modes. This issue arises from the non-unique mapping between the nonlocal deformation gradient and the resulting bond force density state. Among many stabilization techniques proposed to handle this issue, a number of bond-associated models that employ bond-level deformation gradients have emerged as more effective approaches. Although initially developed from different theoretical perspectives, many of these models share underlying structural similarities. This paper aims to unify these differing approaches and introduce a generalized framework for all bond-associated peridynamic material correspondence models. On the basis of formulations proposed in the literature, a unified expression for the bond-associated deformation gradient is developed. Assuming energy equivalence with the local continuum mechanics theory, the unified bond force density state is derived using the Fréchet derivative. In addition, some properties of the bond-associated models, including linear momentum balance, angular momentum balance, and objectivity, are thoroughly examined. To assess and compare the performance of bond-associated models, a series of numerical studies are carried out, including bond mapping analysis, elastic deformation prediction, and elastic wave propagation modeling. It is found that in wave propagation modeling the use of non-constant spherical influence functions, even though this is common in peridynamic models, can lead to phase shift phenomena in certain bond-associated models. Overall, this work provides a comprehensive and unified treatment of bond-associated peridynamic material correspondence models, and it is intended to serve as a valuable reference for further development and application of bond-associated material correspondence formulations in peridynamics.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"447 ","pages":"Article 118340"},"PeriodicalIF":7.3,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144933639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Feature preserving data assimilation via feature alignment 通过特征对齐保持特征的数据同化

IF 7.3 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-02 DOI: 10.1016/j.cma.2025.118345

Amit~N. Subrahmanya, Adrian Sandu

{"title":"Feature preserving data assimilation via feature alignment","authors":"Amit~N. Subrahmanya, Adrian Sandu","doi":"10.1016/j.cma.2025.118345","DOIUrl":"10.1016/j.cma.2025.118345","url":null,"abstract":"<div><div>Data assimilation combines information from physical observations and numerical simulation results to obtain better estimates of the state and parameters of a physical system. A wide class of physical systems of interest have solutions that exhibit the formation of structures, called features, that have to be accurately captured by the assimilation framework. For example, fluids can develop features such as shock waves and contact discontinuities that need to be tracked and preserved during data assimilation. State-of-the-art data assimilation techniques are agnostic of such features. Current ensemble-based methods construct state estimates by taking linear combinations of multiple ensemble states; repeated averaging tends to smear the features over multiple assimilation cycles, leading to nonphysical state estimates. A novel feature-preserving data assimilation methodology that combines sequence alignment with the ensemble transform particle filter is proposed to overcome this limitation of existing assimilation algorithms. Specifically, optimal transport of particles is performed along feature-aligned characteristics. The strength of the proposed feature-preserving filtering approach is demonstrated on multiple test problems described by the compressible Euler equations.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"447 ","pages":"Article 118345"},"PeriodicalIF":7.3,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144933638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A velocity-vorticity-pressure formulation for the steady Navier–Stokes–Brinkman–Forchheimer problem 稳定Navier-Stokes-Brinkman-Forchheimer问题的速度-涡度-压力公式

IF 7.3 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-02 DOI: 10.1016/j.cma.2025.118343

Santiago Badia , Carsten Carstensen , Alberto F. Martín , Ricardo Ruiz-Baier , Segundo Villa-Fuentes

{"title":"A velocity-vorticity-pressure formulation for the steady Navier–Stokes–Brinkman–Forchheimer problem","authors":"Santiago Badia , Carsten Carstensen , Alberto F. Martín , Ricardo Ruiz-Baier , Segundo Villa-Fuentes","doi":"10.1016/j.cma.2025.118343","DOIUrl":"10.1016/j.cma.2025.118343","url":null,"abstract":"<div><div>The flow of incompressible fluid in highly permeable porous media in vorticity - velocity - Bernoulli pressure form leads to a double saddle-point problem in the Navier–Stokes–Brinkman–Forchheimer equations. The paper establishes, for small sources, the existence of solutions on the continuous and discrete level of lowest-order piecewise divergence-free Crouzeix–Raviart finite elements. The vorticity employs a vector version of the pressure space with normal and tangential velocity jump penalisation terms. A simple Raviart–Thomas interpolant leads to pressure-robust a priori error estimates. An explicit residual-based a posteriori error estimate allows for efficient and reliable a posteriori error control. The efficiency for the Forchheimer nonlinearity requires a novel discrete inequality of independent interest. The implementation is based upon a light-weight forest-of-trees data structure handled by a highly parallel set of adaptive mesh refining algorithms. Numerical simulations reveal robustness of the a posteriori error estimates and improved convergence rates by adaptive mesh-refining.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"447 ","pages":"Article 118343"},"PeriodicalIF":7.3,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144926435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0