Sentence examples for approximation terms from inspiring English sources
Combined with simultaneous approximation terms, summation-by-parts (SBP) operators offer a versatile and efficient methodology that leads to consistent, conservative, and provably stable discretizations.
Non-dimensional buckling loads and frequencies of CNTRC plates with different boundary conditions are obtained, and the effects of number of approximation terms, CNT distribution, CNT volume fraction, aspect ratio, and thickness-to-width ratio are examined.
The method uses a node-based finite-volume discretization with Summation-by-Parts (SBP) property, which, in conjunction with Simultaneous Approximation Terms (SAT) for imposing boundary conditions, leads to a linearly stable semi-discrete scheme.
We reformulate CPR methods using summation-by-parts (SBP) operators with simultaneous approximation terms (SATs), a framework popular for finite difference methods, extending the results obtained by Gassner (2013) for a special discontinuous Galerkin spectral element method.
Summation-by-Parts (SBP) operators for the space and time discretization, together with a weak imposition of boundary and initial conditions using Simultaneously Approximation Terms (SATs) lead to a provable fully-discrete energy-stable conservative finite difference scheme.
Efficiency solely enters in a second step, where this first notion of optimality is shown to be equivalent to optimality in terms of nonlinear approximation classes which include best approximation error plus data approximation terms [15].
First a proper summation-by-parts formula is found for the approximate derivative, A "simultaneous approximation term" is then introduced to treat the boundary conditions.
The boundary conditions are imposed with penalty terms known as the Simultaneous Approximation Term technique.
In this paper we propose a two-point gradient based MMA approximation, termed as TGMMA, to improve the performance of the MMA algorithm.
The method uses interface treatments based on the simultaneous approximation term (SAT) penalty method and derivative approximations that satisfy the summation-by-parts (SBP) property.
The approximation term (ψ(K)− log(K)) from Equation 10 is also neglected, as this term, for the multitaper case, is small compared to the error in the omitted higher-order terms.
