Some Applications of Semi-discrete Variational Integrators to Classical Field Theories
نویسندگان
چکیده
We develop a semi-discrete version of discrete variational mechanics with applications to numerical integration of classical field theories. The geometric preservation properties are studied.
منابع مشابه
Geometric Discretization of Lagrangian Mechanics and Field Theories
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My research has focused on developing the mathematical foundations of discrete geometry and mechanics to enable the systematic construction of geometric structure-preserving numerical schemes based on the approach of geometric mechanics, with a view towards obtaining more robust and accurate numerical implementations of feedback and optimal control laws arising from geometric control theory. Th...
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