全空间线性传输问题的自适应混合有限元-边界元法的最优收敛速率

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED

IMA Journal of Numerical Analysis Pub Date : 2025-04-25 DOI:10.1093/imanum/draf023

Gregor Gantner, Michele Ruggeri

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引用次数: 0

摘要

我们考虑了一种混合有限元-边界元法来计算全空间线性椭圆传输问题的近似。首先，我们推导了先验和后验误差估计。然后，在后者的基础上，我们提出了一种自适应算法，并证明了它以最优速率收敛于网格元素的数量。最后，给出了数值实验，验证了自适应算法的实际性能。

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Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems

We consider a hybrid FEM-BEM method to compute approximations of full-space linear elliptic transmission problems. First, we derive a priori and a posteriori error estimates. Then, building on the latter, we present an adaptive algorithm and prove that it converges at optimal rates with respect to the number of mesh elements. Finally, we provide numerical experiments, demonstrating the practical performance of the adaptive algorithm.

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来源期刊

IMA Journal of Numerical Analysis 数学-应用数学

CiteScore

5.30

自引率

4.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The IMA Journal of Numerical Analysis (IMAJNA) publishes original contributions to all fields of numerical analysis; articles will be accepted which treat the theory, development or use of practical algorithms and interactions between these aspects. Occasional survey articles are also published.