In numerical analysis, the fictitious domain method (FD) is a numerical technique designed to solve partial differential equations on complex geometries by embedding the physical domain into a larger and simpler computational domain. The method consists of extending the equations beyond the physical boundaries and enforcing the interface conditions through a distributed Lagrange multiplier in order to recover the correct solution within the original domain of interest.
In numerical analysis, the fictitious domain method (FD) is a numerical technique designed to solve partial differential equations on complex geometries by embedding the physical domain into a larger and simpler computational domain. The method consists of extending the equations beyond the physical boundaries and enforcing the interface conditions through a distributed Lagrange multiplier in order to recover the correct solution within the original domain of interest.
Source: Wikipedia "Fictitious domain method" · CC BY-SA 4.0
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