A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions

Leibold Jan

首页> 外文期刊>Numerische Mathematik >A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions

【24h】

A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions

机译：应用于声学边界条件的非线性波型方程的统一误差分析

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this work we present a unified error analysis for abstract space discretizations of wave-type equations with nonlinear quasi-monotone operators. This yields an error bound in terms of discretization and interpolation errors that can be applied to various equations and space discretizations fitting in the abstract setting. We use the unified error analysis to prove novel convergence rates for a non-conforming finite element space discretization of wave equations with nonlinear acoustic boundary conditions and illustrate the error bound by a numerical experiment.

机译：在这项工作中，我们提出了具有非线性准单调算子的波型方程的抽象空间离散化的统一误差分析。这会产生离散化和插值误差方面的误差界，可以应用于适合抽象设置的各种方程和空间离散化。利用统一误差分析证明了具有非线性声学边界条件的波动方程的不一致性有限元空间离散化的新收敛率，并通过数值实验说明了误差范围。

著录项

来源
《Numerische Mathematik》 |2022年第4期|907-936|共30页
作者
Leibold Jan;
展开▼
作者单位

Karlsruhe Inst Technol;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类数值分析;
关键词
Primary 65M12; 65M15; Secondary 65M60; 65J15; DISCRETIZATION;

机译：小学 65M12;65米15;次级 65M60;65J15;离散化;

相似文献

外文文献
中文文献

1. Exponential stabilization of wave equation with acoustic boundary conditions and its application to memory‐type boundary [J] . Dandan Guo, Zhifei Zhang Mathematical Methods in the Applied Sciences . 2022,第11期

机译：Exponential stabilization of wave equation with acoustic boundary conditions and its application to memory‐type boundary
2. Blow‐up for a Von Karman equation with nonlinear dissipation, logarithmic source, and acoustic boundary conditions [J] . Sun‐Hye Park Mathematical Methods in the Applied Sciences . 2023,第8期

机译：Blow‐up for a Von Karman equation with nonlinear dissipation, logarithmic source, and acoustic boundary conditions
3. L ∞-error estimates of a finite element method for Hamilton-Jacobi-Bellman equations with nonlinear source terms with mixed boundary condition [J] . Madjda Miloudi, Samira Saadi, Mohamed Haiour Demonstratio Mathematica . 2021,第1期

机译：L ∞-error estimates of a finite element method for Hamilton-Jacobi-Bellman equations with nonlinear source terms with mixed boundary condition
4. The Newton Method and Its Application to Boundary Value Problem with Nonlinear Boundary Conditions (常微分方程式及び函数微分方程式研究会報告集) [O] . URABE MINORU 1968

机译：The Newton Method and Its Application to Boundary Value Problem with Nonlinear Boundary Conditions (常微分方程式及び函数微分方程式研究会报告集)

A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions

摘要

著录项

相似文献

相关主题

期刊订阅