Galerkin and Least-Squares Finite Element Processes for 2-D Helmholtz Equation inh,p,kFramework

DOI10.1080/15502280701471509zbMath1135.65401OpenAlexW2042629451MaRDI QIDQ5451524

No author found.

Publication date: 27 March 2008

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502280701471509

zbMATH Keywords

numerical examplesfinite elementvariational consistencyhigher-order spaces2-D Helmholtz equationGalerkin method/Weak formleast-squares processes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

A spectral finite element approach to modeling soft solids excited with high-frequency harmonic loads, On the use of the variational theory of complex rays for the analysis of 2-D exterior Helmholtz problem in an unbounded domain, The Fourier version of the variational theory of complex rays for medium-frequency acoustics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• The finite element method with non-uniform mesh sizes applied to the exterior Helmholtz problem
• Finite element methods for the Helmholtz equation in an exterior domain: Model problems
• A finite element method for large domains
• The variational multiscale method -- a paradigm for computational mechanics
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• A multiscale finite element method for the Helmholtz equation
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• A NUMERICAL COMPARISON OF FINITE ELEMENT METHODS FOR THE HELMHOLTZ EQUATION
• Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
• A two-level finite element method and its application to the Helmholtz equation
• THE PARTITION OF UNITY METHOD
• Residual-free bubbles for the Helmholtz equation
• A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
• Nearly \(H^1\)-optimal finite element methods