Special Solution Strategies inside a Spectral Element Ocean Model

27.08.01

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Inhaltsverzeichnis

Special Solution Strategies inside a Spectral Element Ocean Model

North East Pacific Grid

4 Way Partitioning of the Grid

SEOM Versions and Applications

Highlights of Spectral Element Method

Motivation for Layered SEOM

Layered Model Equations

Current Limitations

Time Discretization

Spectral Element

SEOM Advantage over FDM

System of equations

What’s the problem?

A. Schur Complement cg

Schur Complement and Basis Transformation

Schur complement cg

Schur Complement Preconditioner I

Schur Complement Preconditioner II

Schur Complement Preconditioner III

Schur complement pc

Vertex node system

Memory requirements (A)

B. Matrix approximation

Memory for stiffness matrix

Sparse element matrices

Sparse matrix: memory(B)

C. Two grid method

Element matrix I

Element matix II

Memory requirements (C)

Memory requirements (A-C)

Autor:Craig C. Douglas & Gundolf Haase

E-Mail: ghaase@numa.uni-linz.ac.at

Homepage: www.numa.uni-linz.ac.at

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