Fast solvers for mesh-based computations
Fast Solvers for Mesh-Based Computations presents an alternative way of constructing multi-frontal direct solver algorithms for mesh-based computations. It also describes how to design and implement those algorithms. The book's structure follows those of the matrices, starting from tri-diagonal...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Boca Raton
CRC Press, Taylor & Francis Group
[2016]
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| Series: | Advances in applied mathematics
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| Subjects: | |
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Table of Contents:
- Multi-frontal direct solver algorithm for tri-diagonal and block-diagonal one-dimensional problems
- One-dimensional non-stationary problems
- Multi-frontal direct solver algorithm for multi-diagonal one-dimensional problems
- Multi-frontal direct solver algorithm for two-dimensional grids with block diagonal structure of the matrix
- Multi-frontal direct solver algorithm for three-dimensional grids with block diagonal structure of the matrix
- Multi-frontal direct solver algorithm for two-dimensional isogeometric finite element method
- Expressing partial LU factorization by BLAS calls
- Multi-frontal solver algorithm for arbitrary mesh-based computations
- Elimination trees
- Reutilization and reuse of partial LU factorizations
- Numerical experiments