Nonconforming Galerkin methods for the Helmholtz equation

DOI10.1002/num.1023zbMath1018.65125OpenAlexW2103299672WikidataQ115404885 ScholiaQ115404885MaRDI QIDQ2748415

Jim jun. Douglas, Juan Enrique Santos, Dongwoo Sheen

Publication date: 26 August 2003

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://sedici.unlp.edu.ar/handle/10915/100102

zbMATH Keywords

Galerkin methoderror estimatesabsorbing boundary conditionHelmholtz equationdomain decomposition methodconvergence resultspressure wavesnonconforming finite element

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

The Trefftz method for the Helmholtz equation with degeneracy, NONCONFORMING FINITE ELEMENT METHODS FOR THE THREE-DIMENSIONAL HELMHOLTZ EQUATION: ITERATIVE DOMAIN DECOMPOSITION OR GLOBAL SOLUTION?, SIMULATION OF WAVES IN PORO-VISCOELASTIC ROCKS SATURATED BY IMMISCIBLE FLUIDS: NUMERICAL EVIDENCE OF A SECOND SLOW WAVE, P1-nonconforming quadrilateral finite element for topology optimization, Nonconforming finite element methods for the simulation of waves in viscoelastic solids.

Cites Work

• A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods
• Simple nonconforming quadrilateral Stokes element
• FREQUENCY DOMAIN TREATMENT OF ONE-DIMENSIONAL SCALAR WAVES
• APPROXIMATION OF SCALAR WAVES IN THE SPACE-FREQUENCY DOMAIN
• Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
• Reduced integration technique in general analysis of plates and shells