This work proposes a new adaptive remeshing strategy based on the sensitivity of the point wise error in stresses with respect to the nodal coordinates, which is computed using the adjoint-state method. This sensitivity provides information about the influence of the discretization of each zone of the computational domain in the estimation of the error in stresses at a specific point. This info...

Self-adjoint differential operators often arise from variational calculus on energy functionals. In this case, a direct discretization of the functional induces operator. Following approach, discrete equations are naturally symmetric if is self-adjoint, property that may be lost when using standard difference formulas nonuniform meshes or operator has varying coefficients. Low order finite elem...

This paper tests a methodology for tsunami waveform inversion, based on the adjoint method. The method is designed to perform the direct optimization of the tsunami fault parameters, from tide-gauge data, imposing strong geophysical constrains to the inverted solutions, leading to a substantial enhancement of the signal-to-noise ratio, when compared with the classical technique based on Green’s...

Abstract In this article, we investigate the classification of self-adjoint boundary conditions odd-order differential operators. We obtain that for under some assumptions, there are exactly two basic types conditions: coupled and mixed. Moreover determine number possible each type, which is different from even-order cases. Our construction will play an important role in canonical forms spectra...