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Weak form formulation in MFree methods
| Speaker: |
Drs. A.Y. Gunawan
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| Date: |
Wednesday December 3, 2003 |
| Title: |
Weak form formulation in MFree methods
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Abstract
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Obtaining the exact solution for the governing equation
(strong form system equations) is usually very difficult for practical
engineering, since the problems are very complex. In view of this, one
prefers to obtain an approximated solution, for example, via weak form
formulation.
Formulation based on weak forms can produce a stable set of algebraic
system equations and gives discretized system equations that produce
much more accurate results. Also, it reduces the requirement on the
order of consistency on the
approximated solution. In this lecture, we will study some principles
for
constructing weak form formulation often-used in MFree methods. To
introduce the audience into techniques, some concepts from variational
calculus will first be addressed. Next, we will focus on two major
categories of principles for constructing weak forms: variational
methods (Hamilton’s principle, Galerkin weak form, principle of minimum
total potential energy) and weighted residual methods. Finally,
procedures for solving a problem using weak forms formulation in MFree
methods are outlined.
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