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 new least-squares weak Galerkin method is proposed for non-divergence elliptic equations, delivering symmetric systems and optimal-order error estimates on general meshes.
A neural-enriched weak Galerkin method captures singular solution components in elliptic problems and achieves quasi-optimal error estimates while retaining optimal rates for smooth cases.
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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.
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A Neural-Enhanced Weak Galerkin Method for Second-Order Elliptic Problems with Low-Regularity Solutions
A neural-enriched weak Galerkin method captures singular solution components in elliptic problems and achieves quasi-optimal error estimates while retaining optimal rates for smooth cases.