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Description: |
This talk is divided into two parts. In the first part we give an overview of the application of the Method of Fundamental Solutions (MFS) for solving boundary value problems with elliptic PDE's. The MFS is a meshfree method where the solution is approximated by a linear combination of shifts of the fundamental solution of the elliptic differential operator. We present a theroretical framework providing density results and bounds for the error that justify the convergence of the numerical method. Moreover, we address an algorithm to reduce the ill conditioning of the MFS matrices. In the second part of the talk we describe the application of the MFS for solving some shape optimization problems such as the classical problem of optimizing the Laplacian eigenvalues or the problem of tuning a drum by performing shape and density optimization of the membrane.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Pedro Antunes (Univ. Aberta, Lisboa)
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Institution: |
Mathematics Section, Universidade Aberta and Group of Mathematical Physics of the University of Lisbon
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Place: |
Sala 5.5
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| Research Groups: |
-Numerical Analysis and Optimization
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See more:
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