Some new error estimates for Ritz–Galerkin methods with minimal regularity assumptions
Some new error estimates for Ritz–Galerkin methods with minimal regularity assumptions
New uniform error estimates are established for finite element approximations <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="u Subscript h"> <mml:semantics> <mml:msub> <mml:mi>u</mml:mi> <mml:mi>h</mml:mi> </mml:msub> <mml:annotation encoding="application/x-tex">u_h</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of solutions <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="u"> <mml:semantics> <mml:mi>u</mml:mi> <mml:annotation encoding="application/x-tex">u</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of second-order elliptic equations <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script …