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» A finite difference method for free boundary problems
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Publication
289views
12 years 9 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
MCS
2008
Springer
13 years 11 months ago
Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time
In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically desc...
Matthias Gerdts, Günter Greif, Hans Josef Pes...
SIAMAM
2000
119views more  SIAMAM 2000»
13 years 11 months ago
The "Linear" Limit of Thin Film Flows as an Obstacle-Type Free Boundary Problem
We study the limit as n 0 of the nonnegative, self-similar source-type solutions of the thin film equation ut + (unuxxx)x = 0. We obtain a unique limiting function u, which is a s...
Fernando Quirós, Francisco Bernis, Josephus...
AMC
2005
150views more  AMC 2005»
13 years 11 months ago
High order fitted operator numerical method for self-adjoint singular perturbation problems
We consider self-adjoint singularly perturbed two-point boundary value problems in conservation form. Highest possible order of uniform convergence for such problems achieved hith...
Kailash C. Patidar

Publication
338views
12 years 9 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