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Creators/Authors contains: "Li, Hengguang"

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  1. ; ; (, Applied Numerical Mathematics)
    Free, publicly-accessible full text available August 1, 2026
  2. ; ; ; (, Journal of Computational and Applied Mathematics)
    Free, publicly-accessible full text available July 1, 2026
  3. ; ; ; ; ; (, Expert Systems with Applications)
    Free, publicly-accessible full text available July 1, 2026
  4. ; ; (, Numerical Algorithms)
    Free, publicly-accessible full text available April 7, 2026
  5. ; ; (, Computer Methods in Applied Mechanics and Engineering)
    Free, publicly-accessible full text available February 1, 2026
  6. ; ; (, Journal of Computational and Applied Mathematics)
    Full Text Available 
  7. ; ; (, IMA Journal of Numerical Analysis)
    Abstract In this paper we study the biharmonic equation with Navier boundary conditions in a polygonal domain. In particular, we propose a method that effectively decouples the fourth-order problem as a system of Poisson equations. Our method differs from the naive mixed method that leads to two Poisson problems but only applies to convex domains; our decomposition involves a third Poisson equation to confine the solution in the correct function space, and therefore can be used in both convex and nonconvex domains. A $C^0$ finite element algorithm is in turn proposed to solve the resulting system. In addition, we derive optimal error estimates for the numerical solution on both quasi-uniform meshes and graded meshes. Numerical test results are presented to justify the theoretical findings. 
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  8. ; ; (, Journal of Scientific Computing)
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  9. ; (, Computers & Mathematics with Applications)
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  10. ; ; ; ; ; (, Computers, Materials & Continua)
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