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SIAMSC
2008
188views more  SIAMSC 2008»
13 years 4 months ago
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
In this paper, we develop an error estimator and an adaptive algorithm for efficient solution of parabolic partial differential equations. The error estimator assesses the discreti...
Michael Schmich, Boris Vexler

Publication
519views
12 years 2 months ago
The Finite Volume, Finite Difference, and Finite Elements Methods as Numerical Methods for Physical Field Problems
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
MOC
2002
92views more  MOC 2002»
13 years 4 months ago
Error indicators for the mortar finite element discretization of the Laplace equation
The mortar technique turns out to be well adapted to handle mesh adaptivity in finite elements, since it allows for working with nonnecessarily compatible discretizations on the el...
Christine Bernardi, Frédéric Hecht

Publication
338views
12 years 2 months ago
A Reference Discretization Strategy for the Numerical Solution of Physical Field Problems.
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
MOC
2000
109views more  MOC 2000»
13 years 4 months ago
A posteriori error estimation and adaptivity for degenerate parabolic problems
Abstract. Two explicit error representation formulas are derived for degenerate parabolic PDEs, which are based on evaluating a parabolic residual in negative norms. The resulting ...
Ricardo H. Nochetto, Alfred Schmidt, C. Verdi