Error estimates of a FEM with lumping for parabolic PDEs

Computing (Vienna/New York)

Volumn 68, Issue 2, 2002, Pages 131-141

  Vanselow, R ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Finite element method; Lumping; Parabolic problem; Vertical line method

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; TRIANGULATION;

ERROR ESTIMATES; LUMPING; PARABOLIC PROBLEM; VERTICAL LINE METHOD;

FINITE ELEMENT METHOD;

EID: 0036097069     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-001-1439-4     Document Type: Article

References (11)

1. Yee-like schemes on a tetrahedral mesh, with diagonal lumping
2. The lumped mass finite element methods for a parabolic problem
3. Basic error estimates for elliptic problems
4. Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation
5. Gauss point mass lumping schemes for Maxwell's equations
6. Mass lumping emanating from residual-free bubbles
7. A lumped mass finite-element method with quadrature for a non-linear parabolic problem
8. On the uniform convergence for the lumped mass approximation of the heat equation
9. Error estimates for the lumped mass approximation of the heat equation