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» An optimal adaptive mixed finite element method
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CGF
2008
99views more  CGF 2008»
13 years 8 months ago
Polyhedral Finite Elements Using Harmonic Basis Functions
Finite element simulations in computer graphics are typically based on tetrahedral or hexahedral elements, which enables simple and efficient implementations, but in turn requires...
Sebastian Martin, Peter Kaufmann, Mario Botsch, Ma...
JSCIC
2010
145views more  JSCIC 2010»
13 years 3 months ago
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations
In this paper we present the continuous and discontinuous Galerkin methods in a unified setting for the numerical approximation of the transport dominated advection-reaction equati...
Erik Burman, Alfio Quarteroni, Benjamin Stamm
PROCEDIA
2010
103views more  PROCEDIA 2010»
13 years 3 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
SIAMNUM
2010
178views more  SIAMNUM 2010»
13 years 3 months ago
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Long Chen
FOCM
2002
140views more  FOCM 2002»
13 years 8 months ago
Adaptive Wavelet Methods II - Beyond the Elliptic Case
This paper is concerned with the design and analysis of adaptive wavelet methods for systems of operator equations. Its main accomplishment is to extend the range of applicability...
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore