Access provided by: anon Sign Out. Solving PDE Models in Modelica Abstract: Modelica is a new object-oriented multi-domain modeling and simulation language and used for solving large, complex, and heterogeneous physical systems with differential-algebraic equations DAEs. Presently there is no simulation support available in Modelica for solving partial differential equations PDEs problems.
The definition of PDE model in Modelica is briefly described. The resulting DAE model can be solved by MWorks, which is a Modelica-based platform, without any syntax change of the Modelica language and is therefore very straightforward.
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To illustrate the applicability of our method, an example of two-dimension heat conduction problem is presented and solved in MWorks environment. Article :.
Computational Partial Differential Equations
It leads the reader through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic system. The well-debugged and tested code segments implement the numerical methods efficiently and transparently.
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Basic and advanced numerical methods are introduced and implemented easily and efficiently in a unified object-oriented approach. This book introduces a unified approach for the implementation of these objects.
Useful exercises and solutions conclude each chapter. For the more advanced reader, there is also material on stability analysis and weak formulation.
The final parts of the book demonstrate the object-oriented approach in advanced applications.
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