A least-squares weak Galerkin FEM is developed for the Cauchy problem in the Helmholtz equation, with proofs of uniqueness and optimal error estimates in a discrete energy norm.
Wang , A New Primal-Dual Weak Galerkin Finite Element Method for Ill-posed Elliptic Cauchy Problems , Journal of Computational and Applied Mathematics, vol 371, 112629
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A new least-squares weak Galerkin method is proposed for non-divergence elliptic equations, delivering symmetric systems and optimal-order error estimates on general meshes.
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A Least-Squares Weak Galerkin Finite Element Scheme for Cauchy Problems in Helmholtz
A least-squares weak Galerkin FEM is developed for the Cauchy problem in the Helmholtz equation, with proofs of uniqueness and optimal error estimates in a discrete energy norm.
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A Least-Squares Weak Galerkin Method for Second-Order Elliptic Equations in Non-Divergence Form
A new least-squares weak Galerkin method is proposed for non-divergence elliptic equations, delivering symmetric systems and optimal-order error estimates on general meshes.