12 years 4 months ago
The Geometry of Time-Stepping
The space-time geometric structure of Maxwell’s equations is examined and a subset of them is found to define a pair of exact discrete time-stepping relations. The desirability ...
Claudio Mattiussi

12 years 4 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
129views more  SIAMNUM 2010»
13 years 1 months ago
Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors
A number of works concerning rigorous convergence theory for adaptive finite element methods (AFEM) for controlling global energy errors have appeared in recent years. However, man...
Alan Demlow
103views more  PROCEDIA 2010»
13 years 1 months ago
Towards generating optimised finite element solvers for GPUs from high-level specifications
We argue that producing maintainable high-performance implementations of finite element methods for multiple targets requires that they are written using a high-level domain-speci...
Graham R. Markall, David A. Ham, Paul H. J. Kelly
13 years 1 months ago
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
We derive in this paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic problems. It is based on ...
Martin Vohralík
101views more  MOC 2002»
13 years 6 months ago
On the stability of a family of finite element methods for hyperbolic problems
We consider a family of tensor product finite element methods for hyperbolic equations in RN , N 2, which are explicit and generate a continuous approximate solution. The base cas...
Gerard R. Richter
148views more  JSCIC 2008»
13 years 6 months ago
Finite Element-Based Level Set Methods for Higher Order Flows
In this paper we shall discuss the numerical simulation of higher order geometric flows by level set methods. Main examples under considerations are surface diffusion and the Will...
Martin Burger, Christina Stöcker, Axel Voigt
99views Education» more  CORR 2007»
13 years 6 months ago
Evolutionary Mesh Numbering: Preliminary Results
Abstract. Mesh numbering is a critical issue in Finite Element Methods, as the computational cost of one analysis is highly dependent on the order of the nodes of the mesh. This pa...
Francis Sourd, Marc Schoenauer
235views Solid Modeling» more  SMA 2010»
13 years 6 months ago
Constructing A-spline weight functions for stable WEB-spline finite element methods
Whereas traditional finite element methods use meshes to define domain geometry, weighted extended B-spline finite element methods rely on a weight function. A weight function is ...
Chandrajit L. Bajaj, Radhakrishna Bettadapura, Na ...
14 years 7 months ago
Diffusion Smoothing on Brain Surface via Finite Element Method
Surface data such as the segmented cortical surface of the human brain plays an important role in medical imaging. To increase the signal-to-noise ratio for data residing on the b...
Moo Chung, Jonathan Taylor