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VIS
2004
IEEE
218views Visualization» more  VIS 2004»
14 years 5 months ago
Pixel-Exact Rendering of Spacetime Finite Element Solutions
Computational simulation of time-varying physical processes is of fundamental importance for many scientific and engineering applications. Most frequently, time-varying simulation...
Michael Garland, Robert Haber, Yuan Zhou
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
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
EUROGRAPHICS
2010
Eurographics
13 years 11 months ago
Interactive High-Quality Visualization of Higher-Order Finite Elements
Higher-order finite element methods have emerged as an important discretization scheme for simulation. They are increasingly used in contemporary numerical solvers, generating a ...
Markus Üffinger, Steffen Frey, Thomas Ertl
MOC
2010
12 years 11 months ago
Sharply local pointwise a posteriori error estimates for parabolic problems
Abstract. We prove pointwise a posteriori error estimates for semi- and fullydiscrete finite element methods for approximating the solution u to a parabolic model problem. Our esti...
Alan Demlow, Charalambos Makridakis