The digital elevation model (DEM) provides important data support for geographic information analysis. However, due to the limitation of measurement cost and complex terrain, the collected DEMs often have randomly missing under-sampled points and low sampling density. Neural networks have been shown to have the potential to reconstruct low-resolution DEM data into high-resolution data. Given that general images and DEMs have similar structural features, some researchers have attempted to directly apply general image super-resolution methods to DEM super-resolution tasks, and achieve better results compared to traditional interpolation-based methods. However, DEM data and general images have unique characteristics and fundamental differences, making it inappropriate to directly apply image-based super resolution methods to extract terrain features. Meanwhile, the general spatial interpolation algorithms based on deep learning usually have low model complexity and lack the specific designed loss function, which usually leads to significant interpolation errors. In order to solve these problems, we conducted in-depth research on the terrain feature patterns of DEMs and proposed a DEM super-resolution reconstruction network with terrain feature-aware, named D-ResDCN. The network integrates deep residual module, deformable convolution module and upsampling module, which are used to extract deep terrain features, adaptive terrain features and improve the resolution of DEM data respectively. Furthermore, to accurately reconstruct the local detailed features of DEMs, we constructed a joint loss function with adaptive weight adjustment, which incorporates content loss, perceptual loss, and terrain feature loss. Experimental results show that compared with traditional spatial interpolation and classical super-resolution networks (SRCNN, SRResNet, SRGAN, and ESRGAN), our D-ResDCN model is not far behind the best-performing SRCNN method on PSNR and SSIM, while the performance on MAE and RMSE is 10.5% and 10.1% lower than the SRResNet method, respectively.