Solving Helmholtz equation with high wave number and ill-posed inverse problem using the multiple scales Trefftz collocation method
type: Item
instance of: scholarly article
title: Solving Helmholtz equation with high wave number and ill-posed inverse problem using the multiple scales Trefftz collocation method
zbMATH Open document ID: 1403.65165
author: Chung-Lun Kuo
author: W. Yeih
author: Jiang-Ren Chang
author: Chein-Shan Liu
published in: Engineering Analysis with Boundary Elements
publication date: 2018-08-09T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N21
zbMATH DE Number: 6915118
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: high wave number
zbMATH Keywords: inverse Cauchy problem
zbMATH Keywords: Trefftz collocation method
zbMATH Keywords: equilibrated matrix
MaRDI profile type: Publication
full work available at URL: j.enganabound.2015.07.015
OpenAlex ID: W1160223142
cites work: A multipole Galerkin boundary element method for acoustics
cites work: A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
cites work: Finite element methods for the Helmholtz equation in an exterior domain: Model problems
cites work: Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation
cites work: High-order finite difference methods for the Helmholtz equation
cites work: Solution of Helmholtz equation by Trefftz method
cites work: Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
cites work: Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
cites work: A meshless method for some inverse problems associated with the Helmholtz equation
cites work: Method of fundamental solutions: singular value decomposition analysis
cites work: Some comments on the ill-conditioning of the method of fundamental solutions
cites work: SOME OBSERVATIONS ON THE BEHAVIOR OF THE METHOD OF FUNDAMENTAL SOLUTIONS IN 3D ACOUSTIC PROBLEMS
cites work: Tikhonov Regularization and Total Least Squares
cites work: Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank
cites work: On Solving the Ill-Conditioned System Ax=b: General-Purpose Conditioners Obtained From the Boundary-Collocation Solution of the Laplace Equation, Using Trefftz Expansions With Multiple Length Scales
cites work: An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation
cites work: Novel Algorithms Based on the Conjugate Gradient Method for Inverting Ill-Conditioned Matrices, and a New Regularization Method to Solve Ill-Posed Linear Systems
cites work: A Globally Optimal Iterative Algorithm to Solve an Ill-Posed Linear System
cites work: A Two-Side Equilibration Method to Reduce theCondition Number of an Ill-Posed Linear System
cites work: A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation
cites work: A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length
cites work: Numerical simulation of the two-dimensional sloshing problem using a multi-scaling Trefftz method
DOI: 10.1016/J.ENGANABOUND.2015.07.015
description: scientific article; zbMATH DE number 6915118