K
Kenneth Eriksson
Researcher at Chalmers University of Technology
Publications - 42
Citations - 3576
Kenneth Eriksson is an academic researcher from Chalmers University of Technology. The author has contributed to research in topics: Finite element method & Mixed finite element method. The author has an hindex of 17, co-authored 42 publications receiving 3453 citations.
Papers
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Journal ArticleDOI
Introduction to Adaptive Methods for Differential Equations
TL;DR: The Differential Calculus can be solved by a common method (Gottfried Wilhelm von Leibniz, 1646-1719) as mentioned in this paper, which is known as the Differential Algorithm of this calculus.
Journal ArticleDOI
Adaptive finite element methods for parabolic problems. I.: a linear model problem
Kenneth Eriksson,Claes Johnson +1 more
TL;DR: In this paper, an adaptive finite element method for parabolic problems is presented and analyzed for choosing the space of a finite element in the space a.k.a. the optimal solution.
Book
Computational Differential Equations
TL;DR: This two volume introduction to the computational solution of differential equations uses a unified approach organized around the adaptive finite element method to present a synthesis of mathematical modeling, analysis, and computation.
Journal ArticleDOI
Adaptive finite element methods for parabolic problems IV: nonlinear problems
Kenneth Eriksson,Claes Johnson +1 more
TL;DR: A posteriori error estimates are proved, corresponding adaptive algorithms are designed, and some numerical results are presented on adaptive finite element methods for parabolic problems to a class of nonlinear scalar problems.
Journal ArticleDOI
Adaptive finite element methods for parabolic problems II: optimal error estimates in L ∞ L 2 and L ∞ L ∞
Kenneth Eriksson,Claes Johnson +1 more
TL;DR: Optimal error estimates are derived for a complete discretization of linear parabolic problems using space–time finite elements based on the orthogonality of the Galerkin procedure and the use of strong stability estimates.