Method for assembling the finite element discretization of arbitrary weak equations involving local or non-local multiphysics couplings

Abstract

Disclosed are techniques for representing and modeling systems in which each system corresponds to an application mode. This may be done for one or more geometries using local and/or non-local couplings. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model.

1 . A method executed in a computer system for producing a combined system of partial differential equations comprising:
 representing each of a plurality of systems as an application mode modeling physical quantities of said each system;   determining a representation of a partial differential equation system for each application mode corresponding to one of said plurality of systems using at least one non-local coupling, said at least one non-local coupling determining a value in at least one point depending on a value from at least one other point; and   forming said combined system of partial differential equations using partial differential equation systems associated with said plurality of systems.   
     
     
         2 . The method of  claim 1  wherein said non-local variable defines a value from a first domain in a first geometry to another domain in a second geometry. 
     
     
         3 . The method of  claim 2 , further comprising:
 forming, for each of said first and second geometries, a system of partial differential equations each having associated coupling variables.   
     
     
         4 . The method of  claim 2 , wherein at least one of said partial differential equation systems uses at least one local coupling. 
     
     
         5 - 78 . (canceled)