G
Gustav Ludvigsson
Researcher at Uppsala University
Publications - 7
Citations - 53
Gustav Ludvigsson is an academic researcher from Uppsala University. The author has contributed to research in topics: Finite element method & Stiffness matrix. The author has an hindex of 5, co-authored 6 publications receiving 37 citations.
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High-order cut finite elements for the elastic wave equation
TL;DR: In this article, a high-order cut finite element method is formulated for solving the elastic wave equation, where the boundary or interface is allowed to cut through the background mesh, and stabilizing terms are added to the bilinear forms corresponding to the mass and stiffness matrix.
High order cut finite elements for the elastic wave equation
TL;DR: A high-order cut finite element method is formulated for solving the elastic wave equation and Nitsche’s method is used to enforce boundary and interface conditions, resulting in symmetric bilinear forms.
Journal ArticleDOI
High-Order Numerical Methods for 2D Parabolic Problems in Single and Composite Domains
Gustav Ludvigsson,Kyle R. Steffen,Simon Sticko,Siyang Wang,Qing Xia,Yekaterina Epshteyn,Gunilla Kreiss +6 more
TL;DR: In this article, the authors compared three methods for numerical approximation of constant and variable-coefficient diffusion equations in both single and composite domains with possible discontinuity in the solution/flux at interfaces, considering (i) the Cut Finite Element Method; (ii) the Difference Potentials Method; and (iii) the summation-by-parts Finite Difference Method.
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High-order numerical methods for 2D parabolic problems in single and composite domains
Gustav Ludvigsson,Kyle R. Steffen,Simon Sticko,Siyang Wang,Qing Xia,Yekaterina Epshteyn,Gunilla Kreiss +6 more
TL;DR: This work discusses and compares three methods for the numerical approximation of constant- and variable-coefficient diffusion equations in both single and composite domains with possible discontinuity in the solution/flux at interfaces, considering the Cut Finite Element Method, the Difference Potentials Method, and the summation-by-parts Finite Difference Method.
Journal ArticleDOI
The Kolmogorov forward fractional partial differential equation for the CGMY-process with applications in option pricing
TL;DR: The advantage of the suggested method is obvious in the case of pricing multiple European type options on the same underlying asset when only the pay-off function differs.