Solving the KPI wave equation with a moving adaptive FEM grid (Q1653926)
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scientific article; zbMATH DE number 6914240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving the KPI wave equation with a moving adaptive FEM grid |
scientific article; zbMATH DE number 6914240 |
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Solving the KPI wave equation with a moving adaptive FEM grid (English)
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7 August 2018
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The author solves the Kadomtsev-Petviashvili I (KPI) equation which is a nonlinear wave equation using the finite element program PDE2D (\url{http://www.pde2d.com}). The initial conditions consist of two lump solitons, which collide and reseparate. Since the solution has steep, moving, peaks, an adaptive finite element grid is used with a grading which moves with the peaks.
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KPI equation
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adaptive finite element grid
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nonlinear wave equation
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