Summary
Boundary-value problems are described simultaneously by differential equations in the domain and at the boundaries. A numerical method like that of Trefftz with emphasis on the domain-equation should save all the domain-solutions—the homogeneous and the inhomogeneous ones—to approximate the boundary conditions. Altogether this process completes the classical Trefftz method and improves the numerical results.
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Ruge, P. The complete Trefftz method. Acta Mechanica 78, 235–242 (1989). https://doi.org/10.1007/BF01179219
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DOI: https://doi.org/10.1007/BF01179219