Exact integration scheme for six-node wedge element mass matrix
For finite element practitioners, this provides a more efficient and accurate method for computing mass matrices in wedge elements.
The paper derives an exact seven-point integration rule for six-node wedge element mass matrices, reducing computational effort while increasing accuracy compared to existing two- and nine-point quadrature schemes.
Currently, mass matrices are computed by means of sufficiently accurate numerical integration schemes. Two-point and nine-point (Gauss) quadrature remain frequently used. We derive an exact, easy to implement integration rule for six-node wedge element mass matrices based on seven points only. Both consistent and lumped mass matrices have been considered. New metric (jacobian determinant) interpolation accompanied by analytical integration permits computing effort reduction next to accuracy increase of integration rule. In addition, one and four point mass matrices integration schemes have been proposed. Accuracy superiority over equivalent schemes is established.