Kelvin J. R. Almeida-Sousa

collaborators

3 papers

math.NA2026

Mass Lumping and Numerical Quadrature for Approximation of Fractional Elliptic Differential Equations Driven by Gaussian White Noise

Kelvin J. R. Almeida-Sousa, David Bolin, Alexandre B. Simas

Fractional elliptic stochastic partial differential equations (SPDEs) are widely used in statistics and machine learning for computationally efficient and flexible modeling of Gaus…

math.NA2026

Finite element and box-method discretizations for fractional elliptic problems with quadrature and mass lumping

Kelvin J. R. Almeida-Sousa, David Bolin, Alexandre B. Simas

We analyze numerical approximation of the fractional elliptic problem $L^{β} u = f$ , $β > 0$ , where $L$ is a second-order self-adjoint elliptic operator with homogeneous Dirichlet or Ne…

math.AP2025

Spectral Theory of Krein-Feller Type Operators and Applications in Stochastic Fractional Elliptic and Parabolic Equations

Kelvin J. R. Almeida-Sousa, Alexandre B. Simas

It has been shown that the space $C_{W, V}^{\infty} (T)$ , introduced in Simas and Sousa (Potential Analysis, 2025), is the natural regularity space for solutions of the eige…